Suppose that I have a hollow conductor with no specific format.
I know that if I put a charge inside it, it will induce charge in the inner surface and on the outer surface a charge with a opposite sign.
And that if the conductor is a sphere or a circle, it doesn't matter where inside the charge is, the field outside will stay the same, because of the spherical shell theorem.
My question is, what about a non-spherical conductor? Will the field outside change when I move the charge inside? Why?